Question
show that each sequence is geometric. Then find the common ratio and write out the first four terms.$$\left\{a_{n}\right\}=\left\{-3\left(\frac{1}{2}\right)^{n}\right\}$$
Step 1
The sequence is given by $a_{n}=-3\left(\frac{1}{2}\right)^{n}$. So the first few terms are $a_{1}=-3\left(\frac{1}{2}\right)^{1}$, $a_{2}=-3\left(\frac{1}{2}\right)^{2}$, $a_{3}=-3\left(\frac{1}{2}\right)^{3}$, and so on. Show more…
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